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(a) A section of road has a free flow speed of 55km/h and a jam density of 367 vehicles per kilometre. Assuming under a linear speed-density relationship, calculate the density at maximum flow, the maximum flow rate and the speed at maximum flow.
(b) A roadway has an average hourly traffic volume of 360 veh/h. Assuming that the arrival of vehicles is Poisson distributed, estimate the probabilities of having 0, 1, 2, 3, 4 and 5 or more vehicles arriving over a 20 second time interval. Determine the probability that the gap between successive vehicles will be less than 8 seconds.
(c) Consider the following traffic situation for an intersection. Minor road vehicles at a STOP sign need a 6 seconds gap from the major road traffic to cross the road. If the major road traffic volume is 450 veh/h, estimate the percentage of vehicles from the minor road that could make a successful crossing without being delayed. If the minor road vehicles have a follow-up time of 2 seconds, determine the maximum number of minor road vehicles that could cross the major road during one hour.
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#questiWrite a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two point
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A steak which is 2.5cm thick is cooking in a frying pan which has a 4mm thick base. The electric element used to heat the pan is turned to a level such that the bottom surface of t
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